%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM606+3 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 12:28:38 PM UTC 2025
% Result : Theorem 3.57s 0.82s
% Output : CNFRefutation 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 20 unt; 0 def)
% Number of atoms : 86 ( 4 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 74 ( 22 ~; 21 |; 19 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 13 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,szNzAzT0) )
| aSubsetOf0(xQ,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,szNzAzT0) )
| aSubsetOf0(xQ,szNzAzT0) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(390,plain,
aElementOf0(sK55,xQ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
aElementOf0(sK55,xQ),
inference(instantiation,[status(thm)],[390]) ).
fof(mDefSub,plain,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
cnf(8,plain,
( ~ aSet0(X0)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X0)
| aElementOf0(X1,X0) ),
inference(cnf,[status(esa)],[mDefSub]) ).
cnf(l1,plain,
( ~ aSet0(xS)
| ~ aElementOf0(sK55,xQ)
| ~ aSubsetOf0(xQ,xS)
| aElementOf0(sK55,xS) ),
inference(instantiation,[status(thm)],[8]) ).
fof(m__3435,plain,
( aSet0(xS)
& ! [W0] :
( aElementOf0(W0,xS)
=> aElementOf0(W0,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
cnf(152,plain,
aSet0(xS),
inference(cnf,[status(esa)],[m__3435]) ).
cnf(l3,plain,
aSet0(xS),
inference(instantiation,[status(thm)],[152]) ).
cnf(l7,plain,
( ~ aSet0(szNzAzT0)
| ~ aElementOf0(sK55,xS)
| ~ aSubsetOf0(xS,szNzAzT0)
| aElementOf0(sK55,szNzAzT0) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(154,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf,[status(esa)],[m__3435]) ).
cnf(l10,plain,
aSubsetOf0(xS,szNzAzT0),
inference(instantiation,[status(thm)],[154]) ).
fof(mNATSet,plain,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
cnf(43,plain,
aSet0(szNzAzT0),
inference(cnf,[status(esa)],[mNATSet]) ).
cnf(l37,plain,
aSet0(szNzAzT0),
inference(instantiation,[status(thm)],[43]) ).
fof(mSubTrans,plain,
! [W0,W1,W2] :
( ( aSet0(W0)
& aSet0(W1)
& aSet0(W2) )
=> ( ( aSubsetOf0(W0,W1)
& aSubsetOf0(W1,W2) )
=> aSubsetOf0(W0,W2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubTrans) ).
cnf(14,plain,
( ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| aSubsetOf0(X0,X2) ),
inference(cnf,[status(esa)],[mSubTrans]) ).
cnf(l2,plain,
( ~ aSet0(xQ)
| ~ aSet0(xO)
| ~ aSet0(xS)
| ~ aSubsetOf0(xQ,xO)
| ~ aSubsetOf0(xO,xS)
| aSubsetOf0(xQ,xS) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l11,plain,
aSet0(xS),
inference(instantiation,[status(thm)],[152]) ).
fof(m__4998,plain,
( ! [W0] :
( aElementOf0(W0,xO)
=> aElementOf0(W0,xS) )
& aSubsetOf0(xO,xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4998) ).
cnf(381,plain,
aSubsetOf0(xO,xS),
inference(cnf,[status(esa)],[m__4998]) ).
cnf(l26,plain,
aSubsetOf0(xO,xS),
inference(instantiation,[status(thm)],[381]) ).
fof(m__4891,plain,
( aSet0(xO)
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [W0] :
( aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( aElementOf0(W0,szDzozmdt0(xd))
& sdtlpdtrp0(xd,W0) = szDzizrdt0(xd) ) )
& ! [W0] :
( aElementOf0(W0,xO)
<=> ? [W1] :
( aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,W1) = W0 ) )
& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4891) ).
cnf(363,plain,
aSet0(xO),
inference(cnf,[status(esa)],[m__4891]) ).
cnf(l4,plain,
aSet0(xO),
inference(instantiation,[status(thm)],[363]) ).
fof(m__5078,plain,
( aSet0(xQ)
& ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,xO) )
& aSubsetOf0(xQ,xO)
& sbrdtbr0(xQ) = xK
& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5078) ).
cnf(382,plain,
aSet0(xQ),
inference(cnf,[status(esa)],[m__5078]) ).
cnf(l9,plain,
aSet0(xQ),
inference(instantiation,[status(thm)],[382]) ).
cnf(384,plain,
aSubsetOf0(xQ,xO),
inference(cnf,[status(esa)],[m__5078]) ).
cnf(l20,plain,
aSubsetOf0(xQ,xO),
inference(instantiation,[status(thm)],[384]) ).
cnf(391,plain,
~ aElementOf0(sK55,szNzAzT0),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l38,plain,
~ aElementOf0(sK55,szNzAzT0),
inference(instantiation,[status(thm)],[391]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l7,l10,l37,l2,l11,l26,l4,l9,l20,l38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM606+3 : TPTP v9.0.0. Released v4.0.0.
% 0.07/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 13:10:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.36 % launching worker at depth: 9
% 0.13/0.38 % launching worker at depth: 10
% 3.57/0.82 % SZS status Theorem for theBenchmark
% 3.57/0.82 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------